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Finding the Fourth Proportional to 329,635.12, 494,288.88 and 104,966.24

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Solution

The fourth proportional to 329,635.12, 494,288.88 and 104,966.24 is: 157,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,635.12 : 494,288.88 = 104,966.24 : x
  2. Step 2: Convert to fraction form
    329,635.12/494,288.88 = 104,966.24/x
  3. Step 3: Cross multiply
    329,635.12x = 494,288.88 × 104,966.24
  4. Step 4: Simplify right side
    329,635.12x = 51,883,645,207.41
  5. Step 5: Solve for x
    x = 51,883,645,207.41/329,635.12
  6. Step 6: Final answer
    x = 157,397.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.